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Cambridge University Press eBooks

Quantum Mechanical Aspects of Spectroscopy

Marc F. M. Trypsteen, Richard M. Walker

Published Jul 18, 2017• 0 citations
Publisher
DOI
10.1017/9781316694435.004

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Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples. In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding. Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics.

Princeton University Press eBooks•Jun 5, 2018•38 citations
This chapter reviews the basic quantum mechanics of spectroscopy, analyzing forms of spectroscopy based on the measurement of energy as an atom or molecule undergoes a change in quantum states. It looks at different aspects of quantum mechanics in order to understand instrumental techniques and analysis involving the interaction of light and matter. It also looks at how spectroscopy explores particular energy level differences between quantum states in molecules and atoms. The chapter stresses the importance of quantum mechanics in the development of spectroscopic techniques used to investigate atomic composition and chemical structures. It cites an example that outlines the quantum mechanic events that led to the line spectrum of hydrogen in a gas in a discharge tube.
Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples. In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding. Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics.